André-Louis Cholesky

Mathematician, Topographer and Army Officer

Authors: Brezinski, Claude, Tournès, Dominique

  • The only existing book on the life and the works of Cholesky and contemporaries
  • Reproduction of an unpublished manuscript on graphical calculation
  • English translation of his unpublished paper on the solution of systems of linear equations and further unpublished documents with historical and mathematical commentaries
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eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-08135-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-08134-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: August 31, 2016
  • ISBN 978-3-319-38157-2
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
About this book

This book traces the life of Cholesky (1875-1918), and gives his family history. After an introduction to topography, an English translation of an unpublished paper by him where he explained his method for linear systems is given, studied and replaced in its historical context. His other works, including two books, are also described as well as his involvement in teaching at a superior school by correspondence. The story of this school and its founder, Léon Eyrolles, are addressed. Then, an important unpublished book of Cholesky on graphical calculation is analyzed in detail and compared to similar contemporary publications. The biography of Ernest Benoit, who wrote the first paper where Cholesky´s method is explained, is provided. Various documents, highlighting the life and the personality of Cholesky, end the book.

About the authors

Claude Brezinski is emeritus professor of numerical analysis at the University of Sciences and Technologies of Lille (Laboratory Paul Painlevé, UMR CNRS 8524), France. His work mainly concerns extrapolation methods, orthogonal polynomials, Padé and rational approximation and numerical linear algebra. He also published several papers and books on the history of sciences.

Dominique Tournès is professor of mathematics and history of mathematics at the University of La Réunion (Laboratory of Mathematics and Computer Science, EA 2525), France and associate researcher at the SPHERE laboratory (UMR 7219, CNRS and University Paris-Diderot, France). His work focuses on the history of calculation methods and instruments since the seventeenth century, particularly regarding differential equations.

Reviews

“A nicely illustrated book, many photographs appear of Cholesky, often in military uniform, his family, colleagues and contemporaries. The topographical terms and techniques are well described … . Cholesky was very practical and resourceful. … A very stimulating and engaging book, a motivation to further research of the techniques considered.” (Wallace A. Ferguson, Mathematics Today, Vol. 52 (2), April, 2016)

“The book should appreciably widen the exposure of Cholesky’s ‘remarkable personal achievements in topography and mathematics to a much larger international audience.’ The authors succeed very well to reach this aim. … The book is very readable and can be recommended especially to readers with interest in the history of numerical and applied mathematics.” (Karl-Heinz Schlote, zbMATH 1320.01002, 2015)


Table of contents (9 chapters)

  • Biography of Cholesky

    Brezinski, Claude (et al.)

    Pages 1-44

  • Cholesky’s family

    Brezinski, Claude (et al.)

    Pages 45-62

  • On topography

    Brezinski, Claude (et al.)

    Pages 63-76

  • The method of Cholesky for linear systems

    Brezinski, Claude (et al.)

    Pages 77-122

  • Other works of Cholesky

    Brezinski, Claude (et al.)

    Pages 123-138

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-08135-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-08134-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: August 31, 2016
  • ISBN 978-3-319-38157-2
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
André-Louis Cholesky
Book Subtitle
Mathematician, Topographer and Army Officer
Authors
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-08135-9
DOI
10.1007/978-3-319-08135-9
Hardcover ISBN
978-3-319-08134-2
Softcover ISBN
978-3-319-38157-2
Edition Number
1
Number of Pages
XIII, 331
Number of Illustrations and Tables
134 b/w illustrations
Topics